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Finding the Fourth Proportional to 461,732.38, 693,024.32 and 234,187.70

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Solution

The fourth proportional to 461,732.38, 693,024.32 and 234,187.70 is: 351,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,732.38 : 693,024.32 = 234,187.70 : x
  2. Step 2: Convert to fraction form
    461,732.38/693,024.32 = 234,187.70/x
  3. Step 3: Cross multiply
    461,732.38x = 693,024.32 × 234,187.70
  4. Step 4: Simplify right side
    461,732.38x = 162,297,771,703.16
  5. Step 5: Solve for x
    x = 162,297,771,703.16/461,732.38
  6. Step 6: Final answer
    x = 351,497.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.